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Finding the Fourth Proportional to 237.12, 358.08 and 237.12

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Solution

The fourth proportional to 237.12, 358.08 and 237.12 is: 358.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.12 : 358.08 = 237.12 : x
  2. Step 2: Convert to fraction form
    237.12/358.08 = 237.12/x
  3. Step 3: Cross multiply
    237.12x = 358.08 × 237.12
  4. Step 4: Simplify right side
    237.12x = 84,907.93
  5. Step 5: Solve for x
    x = 84,907.93/237.12
  6. Step 6: Final answer
    x = 358.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.